You can only apply to one of those early. Also Cornell is not need-blind for international applicants. And many on that list now require SAT.
Even if you have a UK safety in your list, you may want to expand your list to include universities that meet full demonstrated need even if they are need aware. The challenge with the handful of need-blind schools is that they all have super-low international acceptance rates, which is exacerbated by the fact that seemingly every international needing aid applies to them, while the number if spots available to internationals is fixed